Serving suspension, he is not included in the tie against Baroda, currently underway in Nashik.
Shaw's century in the first innings came in 122 balls and included 14 fours and a six.
The selection committee on Sunday met at National Cricket Academy in Bengaluru to pick the India 'A' squad.
The teams for both the matches are a mix of experience and youth.
Wicketkeeper Kona Bharat has showcased his skills with the gloves and bat in the several games he has played for India 'A' in the past year or so and is close to selection in the Test team.
Karnataka outplayed a Mumbai team by 112 runs to enter the final of the Ranji Trophy.
Saker took the unusual step of publicly criticising his bowlers in the fourth and final Test against India in Sydney last month, revealing discord with staff over tactics.
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